1583 lines
58 KiB
Rust
1583 lines
58 KiB
Rust
use pairing::{
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Engine,
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Field,
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PrimeField,
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BitIterator
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};
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use bellman::{
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ConstraintSystem,
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SynthesisError,
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LinearCombination,
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Variable
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};
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use super::{
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Assignment
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};
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/// Represents a variable in the constraint system which is guaranteed
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/// to be either zero or one.
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#[derive(Clone)]
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pub struct AllocatedBit {
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variable: Variable,
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value: Option<bool>
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}
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impl AllocatedBit {
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pub fn get_value(&self) -> Option<bool> {
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self.value
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}
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pub fn get_variable(&self) -> Variable {
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self.variable
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}
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/// Allocate a variable in the constraint system which can only be a
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/// boolean value. Further, constrain that the boolean is false
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/// unless the condition is false.
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pub fn alloc_conditionally<E, CS>(
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mut cs: CS,
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value: Option<bool>,
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must_be_false: &AllocatedBit
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) -> Result<Self, SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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let var = cs.alloc(|| "boolean", || {
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if *value.get()? {
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Ok(E::Fr::one())
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} else {
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Ok(E::Fr::zero())
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}
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})?;
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// Constrain: (1 - must_be_false - a) * a = 0
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// if must_be_false is true, the equation
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// reduces to -a * a = 0, which implies a = 0.
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// if must_be_false is false, the equation
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// reduces to (1 - a) * a = 0, which is a
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// traditional boolean constraint.
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cs.enforce(
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|| "boolean constraint",
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|lc| lc + CS::one() - must_be_false.variable - var,
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|lc| lc + var,
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|lc| lc
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);
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Ok(AllocatedBit {
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variable: var,
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value: value
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})
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}
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/// Allocate a variable in the constraint system which can only be a
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/// boolean value.
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pub fn alloc<E, CS>(
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mut cs: CS,
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value: Option<bool>,
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) -> Result<Self, SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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let var = cs.alloc(|| "boolean", || {
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if *value.get()? {
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Ok(E::Fr::one())
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} else {
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Ok(E::Fr::zero())
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}
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})?;
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// Constrain: (1 - a) * a = 0
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// This constrains a to be either 0 or 1.
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cs.enforce(
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|| "boolean constraint",
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|lc| lc + CS::one() - var,
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|lc| lc + var,
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|lc| lc
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);
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Ok(AllocatedBit {
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variable: var,
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value: value
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})
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}
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/// Performs an XOR operation over the two operands, returning
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/// an `AllocatedBit`.
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pub fn xor<E, CS>(
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mut cs: CS,
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a: &Self,
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b: &Self
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) -> Result<Self, SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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let mut result_value = None;
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let result_var = cs.alloc(|| "xor result", || {
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if *a.value.get()? ^ *b.value.get()? {
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result_value = Some(true);
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Ok(E::Fr::one())
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} else {
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result_value = Some(false);
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Ok(E::Fr::zero())
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}
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})?;
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// Constrain (a + a) * (b) = (a + b - c)
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// Given that a and b are boolean constrained, if they
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// are equal, the only solution for c is 0, and if they
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// are different, the only solution for c is 1.
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//
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// ¬(a ∧ b) ∧ ¬(¬a ∧ ¬b) = c
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// (1 - (a * b)) * (1 - ((1 - a) * (1 - b))) = c
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// (1 - ab) * (1 - (1 - a - b + ab)) = c
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// (1 - ab) * (a + b - ab) = c
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// a + b - ab - (a^2)b - (b^2)a + (a^2)(b^2) = c
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// a + b - ab - ab - ab + ab = c
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// a + b - 2ab = c
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// -2a * b = c - a - b
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// 2a * b = a + b - c
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// (a + a) * b = a + b - c
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cs.enforce(
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|| "xor constraint",
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|lc| lc + a.variable + a.variable,
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|lc| lc + b.variable,
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|lc| lc + a.variable + b.variable - result_var
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);
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Ok(AllocatedBit {
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variable: result_var,
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value: result_value
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})
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}
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/// Performs an AND operation over the two operands, returning
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/// an `AllocatedBit`.
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pub fn and<E, CS>(
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mut cs: CS,
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a: &Self,
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b: &Self
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) -> Result<Self, SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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let mut result_value = None;
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let result_var = cs.alloc(|| "and result", || {
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if *a.value.get()? & *b.value.get()? {
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result_value = Some(true);
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Ok(E::Fr::one())
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} else {
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result_value = Some(false);
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Ok(E::Fr::zero())
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}
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})?;
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// Constrain (a) * (b) = (c), ensuring c is 1 iff
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// a AND b are both 1.
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cs.enforce(
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|| "and constraint",
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|lc| lc + a.variable,
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|lc| lc + b.variable,
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|lc| lc + result_var
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);
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Ok(AllocatedBit {
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variable: result_var,
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value: result_value
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})
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}
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/// Calculates `a AND (NOT b)`.
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pub fn and_not<E, CS>(
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mut cs: CS,
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a: &Self,
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b: &Self
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) -> Result<Self, SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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let mut result_value = None;
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let result_var = cs.alloc(|| "and not result", || {
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if *a.value.get()? & !*b.value.get()? {
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result_value = Some(true);
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Ok(E::Fr::one())
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} else {
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result_value = Some(false);
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Ok(E::Fr::zero())
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}
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})?;
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// Constrain (a) * (1 - b) = (c), ensuring c is 1 iff
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// a is true and b is false, and otherwise c is 0.
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cs.enforce(
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|| "and not constraint",
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|lc| lc + a.variable,
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|lc| lc + CS::one() - b.variable,
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|lc| lc + result_var
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);
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Ok(AllocatedBit {
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variable: result_var,
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value: result_value
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})
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}
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/// Calculates `(NOT a) AND (NOT b)`.
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pub fn nor<E, CS>(
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mut cs: CS,
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a: &Self,
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b: &Self
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) -> Result<Self, SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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let mut result_value = None;
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let result_var = cs.alloc(|| "nor result", || {
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if !*a.value.get()? & !*b.value.get()? {
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result_value = Some(true);
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Ok(E::Fr::one())
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} else {
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result_value = Some(false);
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Ok(E::Fr::zero())
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}
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})?;
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// Constrain (1 - a) * (1 - b) = (c), ensuring c is 1 iff
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// a and b are both false, and otherwise c is 0.
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cs.enforce(
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|| "nor constraint",
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|lc| lc + CS::one() - a.variable,
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|lc| lc + CS::one() - b.variable,
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|lc| lc + result_var
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);
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Ok(AllocatedBit {
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variable: result_var,
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value: result_value
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})
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}
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}
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pub fn u64_into_boolean_vec_le<E: Engine, CS: ConstraintSystem<E>>(
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mut cs: CS,
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value: Option<u64>
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) -> Result<Vec<Boolean>, SynthesisError>
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{
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let values = match value {
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Some(ref value) => {
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let mut tmp = Vec::with_capacity(64);
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for i in 0..64 {
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tmp.push(Some(*value >> i & 1 == 1));
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}
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tmp
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},
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None => {
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vec![None; 64]
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}
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};
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let bits = values.into_iter().enumerate().map(|(i, b)| {
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Ok(Boolean::from(AllocatedBit::alloc(
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cs.namespace(|| format!("bit {}", i)),
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b
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)?))
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}).collect::<Result<Vec<_>, SynthesisError>>()?;
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Ok(bits)
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}
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pub fn field_into_boolean_vec_le<E: Engine, CS: ConstraintSystem<E>, F: PrimeField>(
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cs: CS,
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value: Option<F>
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) -> Result<Vec<Boolean>, SynthesisError>
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{
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let v = field_into_allocated_bits_le::<E, CS, F>(cs, value)?;
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Ok(v.into_iter().map(|e| Boolean::from(e)).collect())
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}
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pub fn field_into_allocated_bits_le<E: Engine, CS: ConstraintSystem<E>, F: PrimeField>(
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mut cs: CS,
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value: Option<F>
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) -> Result<Vec<AllocatedBit>, SynthesisError>
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{
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// Deconstruct in big-endian bit order
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let values = match value {
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Some(ref value) => {
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let mut field_char = BitIterator::new(F::char());
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let mut tmp = Vec::with_capacity(F::NUM_BITS as usize);
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let mut found_one = false;
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for b in BitIterator::new(value.into_repr()) {
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// Skip leading bits
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found_one |= field_char.next().unwrap();
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if !found_one {
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continue;
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}
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tmp.push(Some(b));
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}
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assert_eq!(tmp.len(), F::NUM_BITS as usize);
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tmp
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},
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None => {
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vec![None; F::NUM_BITS as usize]
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}
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};
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// Allocate in little-endian order
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let bits = values.into_iter().rev().enumerate().map(|(i, b)| {
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AllocatedBit::alloc(
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cs.namespace(|| format!("bit {}", i)),
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b
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)
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}).collect::<Result<Vec<_>, SynthesisError>>()?;
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Ok(bits)
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}
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/// This is a boolean value which may be either a constant or
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/// an interpretation of an `AllocatedBit`.
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#[derive(Clone)]
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pub enum Boolean {
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/// Existential view of the boolean variable
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Is(AllocatedBit),
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/// Negated view of the boolean variable
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Not(AllocatedBit),
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/// Constant (not an allocated variable)
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Constant(bool)
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}
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impl Boolean {
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pub fn is_constant(&self) -> bool {
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match *self {
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Boolean::Constant(_) => true,
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_ => false
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}
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}
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pub fn enforce_equal<E, CS>(
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mut cs: CS,
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a: &Self,
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b: &Self
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) -> Result<(), SynthesisError>
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where E: Engine,
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CS: ConstraintSystem<E>
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{
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match (a, b) {
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(&Boolean::Constant(a), &Boolean::Constant(b)) => {
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if a == b {
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Ok(())
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} else {
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Err(SynthesisError::Unsatisfiable)
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}
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},
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(&Boolean::Constant(true), a) | (a, &Boolean::Constant(true)) => {
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cs.enforce(
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|| "enforce equal to one",
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|lc| lc,
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|lc| lc,
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|lc| lc + CS::one() - &a.lc(CS::one(), E::Fr::one())
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);
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Ok(())
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},
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(&Boolean::Constant(false), a) | (a, &Boolean::Constant(false)) => {
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cs.enforce(
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|| "enforce equal to zero",
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|lc| lc,
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|lc| lc,
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|_| a.lc(CS::one(), E::Fr::one())
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);
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Ok(())
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},
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(a, b) => {
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cs.enforce(
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|| "enforce equal",
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|lc| lc,
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|lc| lc,
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|_| a.lc(CS::one(), E::Fr::one()) - &b.lc(CS::one(), E::Fr::one())
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);
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Ok(())
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}
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}
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}
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pub fn get_value(&self) -> Option<bool> {
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match self {
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&Boolean::Constant(c) => Some(c),
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&Boolean::Is(ref v) => v.get_value(),
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&Boolean::Not(ref v) => v.get_value().map(|b| !b)
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}
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}
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pub fn lc<E: Engine>(
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&self,
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one: Variable,
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coeff: E::Fr
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) -> LinearCombination<E>
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{
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match self {
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&Boolean::Constant(c) => {
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if c {
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LinearCombination::<E>::zero() + (coeff, one)
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} else {
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LinearCombination::<E>::zero()
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}
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},
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&Boolean::Is(ref v) => {
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LinearCombination::<E>::zero() + (coeff, v.get_variable())
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},
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&Boolean::Not(ref v) => {
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LinearCombination::<E>::zero() + (coeff, one) - (coeff, v.get_variable())
|
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}
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}
|
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}
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|
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/// Construct a boolean from a known constant
|
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pub fn constant(b: bool) -> Self {
|
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Boolean::Constant(b)
|
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}
|
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|
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/// Return a negated interpretation of this boolean.
|
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pub fn not(&self) -> Self {
|
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match self {
|
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&Boolean::Constant(c) => Boolean::Constant(!c),
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&Boolean::Is(ref v) => Boolean::Not(v.clone()),
|
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&Boolean::Not(ref v) => Boolean::Is(v.clone())
|
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}
|
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}
|
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|
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/// Perform XOR over two boolean operands
|
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pub fn xor<'a, E, CS>(
|
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cs: CS,
|
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a: &'a Self,
|
|
b: &'a Self
|
|
) -> Result<Self, SynthesisError>
|
|
where E: Engine,
|
|
CS: ConstraintSystem<E>
|
|
{
|
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match (a, b) {
|
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(&Boolean::Constant(false), x) | (x, &Boolean::Constant(false)) => Ok(x.clone()),
|
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(&Boolean::Constant(true), x) | (x, &Boolean::Constant(true)) => Ok(x.not()),
|
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// a XOR (NOT b) = NOT(a XOR b)
|
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(is @ &Boolean::Is(_), not @ &Boolean::Not(_)) | (not @ &Boolean::Not(_), is @ &Boolean::Is(_)) => {
|
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Ok(Boolean::xor(
|
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cs,
|
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is,
|
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¬.not()
|
|
)?.not())
|
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},
|
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// a XOR b = (NOT a) XOR (NOT b)
|
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(&Boolean::Is(ref a), &Boolean::Is(ref b)) | (&Boolean::Not(ref a), &Boolean::Not(ref b)) => {
|
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Ok(Boolean::Is(AllocatedBit::xor(cs, a, b)?))
|
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}
|
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}
|
|
}
|
|
|
|
/// Perform AND over two boolean operands
|
|
pub fn and<'a, E, CS>(
|
|
cs: CS,
|
|
a: &'a Self,
|
|
b: &'a Self
|
|
) -> Result<Self, SynthesisError>
|
|
where E: Engine,
|
|
CS: ConstraintSystem<E>
|
|
{
|
|
match (a, b) {
|
|
// false AND x is always false
|
|
(&Boolean::Constant(false), _) | (_, &Boolean::Constant(false)) => Ok(Boolean::Constant(false)),
|
|
// true AND x is always x
|
|
(&Boolean::Constant(true), x) | (x, &Boolean::Constant(true)) => Ok(x.clone()),
|
|
// a AND (NOT b)
|
|
(&Boolean::Is(ref is), &Boolean::Not(ref not)) | (&Boolean::Not(ref not), &Boolean::Is(ref is)) => {
|
|
Ok(Boolean::Is(AllocatedBit::and_not(cs, is, not)?))
|
|
},
|
|
// (NOT a) AND (NOT b) = a NOR b
|
|
(&Boolean::Not(ref a), &Boolean::Not(ref b)) => {
|
|
Ok(Boolean::Is(AllocatedBit::nor(cs, a, b)?))
|
|
},
|
|
// a AND b
|
|
(&Boolean::Is(ref a), &Boolean::Is(ref b)) => {
|
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Ok(Boolean::Is(AllocatedBit::and(cs, a, b)?))
|
|
}
|
|
}
|
|
}
|
|
|
|
/// Computes (a and b) xor ((not a) and c)
|
|
pub fn sha256_ch<'a, E, CS>(
|
|
mut cs: CS,
|
|
a: &'a Self,
|
|
b: &'a Self,
|
|
c: &'a Self
|
|
) -> Result<Self, SynthesisError>
|
|
where E: Engine,
|
|
CS: ConstraintSystem<E>
|
|
{
|
|
let ch_value = match (a.get_value(), b.get_value(), c.get_value()) {
|
|
(Some(a), Some(b), Some(c)) => {
|
|
// (a and b) xor ((not a) and c)
|
|
Some((a & b) ^ ((!a) & c))
|
|
},
|
|
_ => None
|
|
};
|
|
|
|
match (a, b, c) {
|
|
(&Boolean::Constant(_),
|
|
&Boolean::Constant(_),
|
|
&Boolean::Constant(_)) => {
|
|
// They're all constants, so we can just compute the value.
|
|
|
|
return Ok(Boolean::Constant(ch_value.expect("they're all constants")));
|
|
},
|
|
(&Boolean::Constant(false), _, c) => {
|
|
// If a is false
|
|
// (a and b) xor ((not a) and c)
|
|
// equals
|
|
// (false) xor (c)
|
|
// equals
|
|
// c
|
|
return Ok(c.clone());
|
|
},
|
|
(a, &Boolean::Constant(false), c) => {
|
|
// If b is false
|
|
// (a and b) xor ((not a) and c)
|
|
// equals
|
|
// ((not a) and c)
|
|
return Boolean::and(
|
|
cs,
|
|
&a.not(),
|
|
&c
|
|
);
|
|
},
|
|
(a, b, &Boolean::Constant(false)) => {
|
|
// If c is false
|
|
// (a and b) xor ((not a) and c)
|
|
// equals
|
|
// (a and b)
|
|
return Boolean::and(
|
|
cs,
|
|
&a,
|
|
&b
|
|
);
|
|
},
|
|
(a, b, &Boolean::Constant(true)) => {
|
|
// If c is true
|
|
// (a and b) xor ((not a) and c)
|
|
// equals
|
|
// (a and b) xor (not a)
|
|
// equals
|
|
// not (a and (not b))
|
|
return Ok(Boolean::and(
|
|
cs,
|
|
&a,
|
|
&b.not()
|
|
)?.not());
|
|
},
|
|
(a, &Boolean::Constant(true), c) => {
|
|
// If b is true
|
|
// (a and b) xor ((not a) and c)
|
|
// equals
|
|
// a xor ((not a) and c)
|
|
// equals
|
|
// not ((not a) and (not c))
|
|
return Ok(Boolean::and(
|
|
cs,
|
|
&a.not(),
|
|
&c.not()
|
|
)?.not());
|
|
},
|
|
(&Boolean::Constant(true), _, _) => {
|
|
// If a is true
|
|
// (a and b) xor ((not a) and c)
|
|
// equals
|
|
// b xor ((not a) and c)
|
|
// So we just continue!
|
|
},
|
|
(&Boolean::Is(_), &Boolean::Is(_), &Boolean::Is(_)) |
|
|
(&Boolean::Is(_), &Boolean::Is(_), &Boolean::Not(_)) |
|
|
(&Boolean::Is(_), &Boolean::Not(_), &Boolean::Is(_)) |
|
|
(&Boolean::Is(_), &Boolean::Not(_), &Boolean::Not(_)) |
|
|
(&Boolean::Not(_), &Boolean::Is(_), &Boolean::Is(_)) |
|
|
(&Boolean::Not(_), &Boolean::Is(_), &Boolean::Not(_)) |
|
|
(&Boolean::Not(_), &Boolean::Not(_), &Boolean::Is(_)) |
|
|
(&Boolean::Not(_), &Boolean::Not(_), &Boolean::Not(_))
|
|
=> {}
|
|
}
|
|
|
|
let ch = cs.alloc(|| "ch", || {
|
|
ch_value.get().map(|v| {
|
|
if *v {
|
|
E::Fr::one()
|
|
} else {
|
|
E::Fr::zero()
|
|
}
|
|
})
|
|
})?;
|
|
|
|
// a(b - c) = ch - c
|
|
cs.enforce(
|
|
|| "ch computation",
|
|
|_| b.lc(CS::one(), E::Fr::one())
|
|
- &c.lc(CS::one(), E::Fr::one()),
|
|
|_| a.lc(CS::one(), E::Fr::one()),
|
|
|lc| lc + ch - &c.lc(CS::one(), E::Fr::one())
|
|
);
|
|
|
|
Ok(AllocatedBit {
|
|
value: ch_value,
|
|
variable: ch
|
|
}.into())
|
|
}
|
|
|
|
/// Computes (a and b) xor (a and c) xor (b and c)
|
|
pub fn sha256_maj<'a, E, CS>(
|
|
mut cs: CS,
|
|
a: &'a Self,
|
|
b: &'a Self,
|
|
c: &'a Self,
|
|
) -> Result<Self, SynthesisError>
|
|
where E: Engine,
|
|
CS: ConstraintSystem<E>
|
|
{
|
|
let maj_value = match (a.get_value(), b.get_value(), c.get_value()) {
|
|
(Some(a), Some(b), Some(c)) => {
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
Some((a & b) ^ (a & c) ^ (b & c))
|
|
},
|
|
_ => None
|
|
};
|
|
|
|
match (a, b, c) {
|
|
(&Boolean::Constant(_),
|
|
&Boolean::Constant(_),
|
|
&Boolean::Constant(_)) => {
|
|
// They're all constants, so we can just compute the value.
|
|
|
|
return Ok(Boolean::Constant(maj_value.expect("they're all constants")));
|
|
},
|
|
(&Boolean::Constant(false), b, c) => {
|
|
// If a is false,
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
// equals
|
|
// (b and c)
|
|
return Boolean::and(
|
|
cs,
|
|
b,
|
|
c
|
|
);
|
|
},
|
|
(a, &Boolean::Constant(false), c) => {
|
|
// If b is false,
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
// equals
|
|
// (a and c)
|
|
return Boolean::and(
|
|
cs,
|
|
a,
|
|
c
|
|
);
|
|
},
|
|
(a, b, &Boolean::Constant(false)) => {
|
|
// If c is false,
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
// equals
|
|
// (a and b)
|
|
return Boolean::and(
|
|
cs,
|
|
a,
|
|
b
|
|
);
|
|
},
|
|
(a, b, &Boolean::Constant(true)) => {
|
|
// If c is true,
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
// equals
|
|
// (a and b) xor (a) xor (b)
|
|
// equals
|
|
// not ((not a) and (not b))
|
|
return Ok(Boolean::and(
|
|
cs,
|
|
&a.not(),
|
|
&b.not()
|
|
)?.not());
|
|
},
|
|
(a, &Boolean::Constant(true), c) => {
|
|
// If b is true,
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
// equals
|
|
// (a) xor (a and c) xor (c)
|
|
return Ok(Boolean::and(
|
|
cs,
|
|
&a.not(),
|
|
&c.not()
|
|
)?.not());
|
|
},
|
|
(&Boolean::Constant(true), b, c) => {
|
|
// If a is true,
|
|
// (a and b) xor (a and c) xor (b and c)
|
|
// equals
|
|
// (b) xor (c) xor (b and c)
|
|
return Ok(Boolean::and(
|
|
cs,
|
|
&b.not(),
|
|
&c.not()
|
|
)?.not());
|
|
},
|
|
(&Boolean::Is(_), &Boolean::Is(_), &Boolean::Is(_)) |
|
|
(&Boolean::Is(_), &Boolean::Is(_), &Boolean::Not(_)) |
|
|
(&Boolean::Is(_), &Boolean::Not(_), &Boolean::Is(_)) |
|
|
(&Boolean::Is(_), &Boolean::Not(_), &Boolean::Not(_)) |
|
|
(&Boolean::Not(_), &Boolean::Is(_), &Boolean::Is(_)) |
|
|
(&Boolean::Not(_), &Boolean::Is(_), &Boolean::Not(_)) |
|
|
(&Boolean::Not(_), &Boolean::Not(_), &Boolean::Is(_)) |
|
|
(&Boolean::Not(_), &Boolean::Not(_), &Boolean::Not(_))
|
|
=> {}
|
|
}
|
|
|
|
let maj = cs.alloc(|| "maj", || {
|
|
maj_value.get().map(|v| {
|
|
if *v {
|
|
E::Fr::one()
|
|
} else {
|
|
E::Fr::zero()
|
|
}
|
|
})
|
|
})?;
|
|
|
|
// ¬(¬a ∧ ¬b) ∧ ¬(¬a ∧ ¬c) ∧ ¬(¬b ∧ ¬c)
|
|
// (1 - ((1 - a) * (1 - b))) * (1 - ((1 - a) * (1 - c))) * (1 - ((1 - b) * (1 - c)))
|
|
// (a + b - ab) * (a + c - ac) * (b + c - bc)
|
|
// -2abc + ab + ac + bc
|
|
// a (-2bc + b + c) + bc
|
|
//
|
|
// (b) * (c) = (bc)
|
|
// (2bc - b - c) * (a) = bc - maj
|
|
|
|
let bc = Self::and(
|
|
cs.namespace(|| "b and c"),
|
|
b,
|
|
c
|
|
)?;
|
|
|
|
cs.enforce(
|
|
|| "maj computation",
|
|
|_| bc.lc(CS::one(), E::Fr::one())
|
|
+ &bc.lc(CS::one(), E::Fr::one())
|
|
- &b.lc(CS::one(), E::Fr::one())
|
|
- &c.lc(CS::one(), E::Fr::one()),
|
|
|_| a.lc(CS::one(), E::Fr::one()),
|
|
|_| bc.lc(CS::one(), E::Fr::one()) - maj
|
|
);
|
|
|
|
Ok(AllocatedBit {
|
|
value: maj_value,
|
|
variable: maj
|
|
}.into())
|
|
}
|
|
}
|
|
|
|
impl From<AllocatedBit> for Boolean {
|
|
fn from(b: AllocatedBit) -> Boolean {
|
|
Boolean::Is(b)
|
|
}
|
|
}
|
|
|
|
#[cfg(test)]
|
|
mod test {
|
|
use bellman::{ConstraintSystem};
|
|
use pairing::bls12_381::{Bls12, Fr};
|
|
use pairing::{Field, PrimeField};
|
|
use ::circuit::test::*;
|
|
use super::{
|
|
AllocatedBit,
|
|
Boolean,
|
|
field_into_allocated_bits_le,
|
|
u64_into_boolean_vec_le
|
|
};
|
|
|
|
#[test]
|
|
fn test_allocated_bit() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
AllocatedBit::alloc(&mut cs, Some(true)).unwrap();
|
|
assert!(cs.get("boolean") == Fr::one());
|
|
assert!(cs.is_satisfied());
|
|
cs.set("boolean", Fr::zero());
|
|
assert!(cs.is_satisfied());
|
|
cs.set("boolean", Fr::from_str("2").unwrap());
|
|
assert!(!cs.is_satisfied());
|
|
assert!(cs.which_is_unsatisfied() == Some("boolean constraint"));
|
|
}
|
|
|
|
#[test]
|
|
fn test_xor() {
|
|
for a_val in [false, true].iter() {
|
|
for b_val in [false, true].iter() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
let a = AllocatedBit::alloc(cs.namespace(|| "a"), Some(*a_val)).unwrap();
|
|
let b = AllocatedBit::alloc(cs.namespace(|| "b"), Some(*b_val)).unwrap();
|
|
let c = AllocatedBit::xor(&mut cs, &a, &b).unwrap();
|
|
assert_eq!(c.value.unwrap(), *a_val ^ *b_val);
|
|
|
|
assert!(cs.is_satisfied());
|
|
assert!(cs.get("a/boolean") == if *a_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("b/boolean") == if *b_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("xor result") == if *a_val ^ *b_val { Field::one() } else { Field::zero() });
|
|
|
|
// Invert the result and check if the constraint system is still satisfied
|
|
cs.set("xor result", if *a_val ^ *b_val { Field::zero() } else { Field::one() });
|
|
assert!(!cs.is_satisfied());
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_and() {
|
|
for a_val in [false, true].iter() {
|
|
for b_val in [false, true].iter() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
let a = AllocatedBit::alloc(cs.namespace(|| "a"), Some(*a_val)).unwrap();
|
|
let b = AllocatedBit::alloc(cs.namespace(|| "b"), Some(*b_val)).unwrap();
|
|
let c = AllocatedBit::and(&mut cs, &a, &b).unwrap();
|
|
assert_eq!(c.value.unwrap(), *a_val & *b_val);
|
|
|
|
assert!(cs.is_satisfied());
|
|
assert!(cs.get("a/boolean") == if *a_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("b/boolean") == if *b_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("and result") == if *a_val & *b_val { Field::one() } else { Field::zero() });
|
|
|
|
// Invert the result and check if the constraint system is still satisfied
|
|
cs.set("and result", if *a_val & *b_val { Field::zero() } else { Field::one() });
|
|
assert!(!cs.is_satisfied());
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_and_not() {
|
|
for a_val in [false, true].iter() {
|
|
for b_val in [false, true].iter() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
let a = AllocatedBit::alloc(cs.namespace(|| "a"), Some(*a_val)).unwrap();
|
|
let b = AllocatedBit::alloc(cs.namespace(|| "b"), Some(*b_val)).unwrap();
|
|
let c = AllocatedBit::and_not(&mut cs, &a, &b).unwrap();
|
|
assert_eq!(c.value.unwrap(), *a_val & !*b_val);
|
|
|
|
assert!(cs.is_satisfied());
|
|
assert!(cs.get("a/boolean") == if *a_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("b/boolean") == if *b_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("and not result") == if *a_val & !*b_val { Field::one() } else { Field::zero() });
|
|
|
|
// Invert the result and check if the constraint system is still satisfied
|
|
cs.set("and not result", if *a_val & !*b_val { Field::zero() } else { Field::one() });
|
|
assert!(!cs.is_satisfied());
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_nor() {
|
|
for a_val in [false, true].iter() {
|
|
for b_val in [false, true].iter() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
let a = AllocatedBit::alloc(cs.namespace(|| "a"), Some(*a_val)).unwrap();
|
|
let b = AllocatedBit::alloc(cs.namespace(|| "b"), Some(*b_val)).unwrap();
|
|
let c = AllocatedBit::nor(&mut cs, &a, &b).unwrap();
|
|
assert_eq!(c.value.unwrap(), !*a_val & !*b_val);
|
|
|
|
assert!(cs.is_satisfied());
|
|
assert!(cs.get("a/boolean") == if *a_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("b/boolean") == if *b_val { Field::one() } else { Field::zero() });
|
|
assert!(cs.get("nor result") == if !*a_val & !*b_val { Field::one() } else { Field::zero() });
|
|
|
|
// Invert the result and check if the constraint system is still satisfied
|
|
cs.set("nor result", if !*a_val & !*b_val { Field::zero() } else { Field::one() });
|
|
assert!(!cs.is_satisfied());
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_enforce_equal() {
|
|
for a_bool in [false, true].iter().cloned() {
|
|
for b_bool in [false, true].iter().cloned() {
|
|
for a_neg in [false, true].iter().cloned() {
|
|
for b_neg in [false, true].iter().cloned() {
|
|
{
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let mut a = Boolean::from(AllocatedBit::alloc(cs.namespace(|| "a"), Some(a_bool)).unwrap());
|
|
let mut b = Boolean::from(AllocatedBit::alloc(cs.namespace(|| "b"), Some(b_bool)).unwrap());
|
|
|
|
if a_neg {
|
|
a = a.not();
|
|
}
|
|
if b_neg {
|
|
b = b.not();
|
|
}
|
|
|
|
Boolean::enforce_equal(&mut cs, &a, &b).unwrap();
|
|
|
|
assert_eq!(
|
|
cs.is_satisfied(),
|
|
(a_bool ^ a_neg) == (b_bool ^ b_neg)
|
|
);
|
|
}
|
|
{
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let mut a = Boolean::Constant(a_bool);
|
|
let mut b = Boolean::from(AllocatedBit::alloc(cs.namespace(|| "b"), Some(b_bool)).unwrap());
|
|
|
|
if a_neg {
|
|
a = a.not();
|
|
}
|
|
if b_neg {
|
|
b = b.not();
|
|
}
|
|
|
|
Boolean::enforce_equal(&mut cs, &a, &b).unwrap();
|
|
|
|
assert_eq!(
|
|
cs.is_satisfied(),
|
|
(a_bool ^ a_neg) == (b_bool ^ b_neg)
|
|
);
|
|
}
|
|
{
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let mut a = Boolean::from(AllocatedBit::alloc(cs.namespace(|| "a"), Some(a_bool)).unwrap());
|
|
let mut b = Boolean::Constant(b_bool);
|
|
|
|
if a_neg {
|
|
a = a.not();
|
|
}
|
|
if b_neg {
|
|
b = b.not();
|
|
}
|
|
|
|
Boolean::enforce_equal(&mut cs, &a, &b).unwrap();
|
|
|
|
assert_eq!(
|
|
cs.is_satisfied(),
|
|
(a_bool ^ a_neg) == (b_bool ^ b_neg)
|
|
);
|
|
}
|
|
{
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let mut a = Boolean::Constant(a_bool);
|
|
let mut b = Boolean::Constant(b_bool);
|
|
|
|
if a_neg {
|
|
a = a.not();
|
|
}
|
|
if b_neg {
|
|
b = b.not();
|
|
}
|
|
|
|
let result = Boolean::enforce_equal(&mut cs, &a, &b);
|
|
|
|
if (a_bool ^ a_neg) == (b_bool ^ b_neg) {
|
|
assert!(result.is_ok());
|
|
assert!(cs.is_satisfied());
|
|
} else {
|
|
assert!(result.is_err());
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_boolean_negation() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let mut b = Boolean::from(AllocatedBit::alloc(&mut cs, Some(true)).unwrap());
|
|
|
|
match b {
|
|
Boolean::Is(_) => {},
|
|
_ => panic!("unexpected value")
|
|
}
|
|
|
|
b = b.not();
|
|
|
|
match b {
|
|
Boolean::Not(_) => {},
|
|
_ => panic!("unexpected value")
|
|
}
|
|
|
|
b = b.not();
|
|
|
|
match b {
|
|
Boolean::Is(_) => {},
|
|
_ => panic!("unexpected value")
|
|
}
|
|
|
|
b = Boolean::constant(true);
|
|
|
|
match b {
|
|
Boolean::Constant(true) => {},
|
|
_ => panic!("unexpected value")
|
|
}
|
|
|
|
b = b.not();
|
|
|
|
match b {
|
|
Boolean::Constant(false) => {},
|
|
_ => panic!("unexpected value")
|
|
}
|
|
|
|
b = b.not();
|
|
|
|
match b {
|
|
Boolean::Constant(true) => {},
|
|
_ => panic!("unexpected value")
|
|
}
|
|
}
|
|
|
|
#[derive(Copy, Clone, Debug)]
|
|
enum OperandType {
|
|
True,
|
|
False,
|
|
AllocatedTrue,
|
|
AllocatedFalse,
|
|
NegatedAllocatedTrue,
|
|
NegatedAllocatedFalse
|
|
}
|
|
|
|
impl OperandType {
|
|
fn is_constant(&self) -> bool {
|
|
match *self {
|
|
OperandType::True => true,
|
|
OperandType::False => true,
|
|
OperandType::AllocatedTrue => false,
|
|
OperandType::AllocatedFalse => false,
|
|
OperandType::NegatedAllocatedTrue => false,
|
|
OperandType::NegatedAllocatedFalse => false
|
|
}
|
|
}
|
|
|
|
fn val(&self) -> bool {
|
|
match *self {
|
|
OperandType::True => true,
|
|
OperandType::False => false,
|
|
OperandType::AllocatedTrue => true,
|
|
OperandType::AllocatedFalse => false,
|
|
OperandType::NegatedAllocatedTrue => false,
|
|
OperandType::NegatedAllocatedFalse => true
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
#[test]
|
|
fn test_boolean_xor() {
|
|
let variants = [
|
|
OperandType::True,
|
|
OperandType::False,
|
|
OperandType::AllocatedTrue,
|
|
OperandType::AllocatedFalse,
|
|
OperandType::NegatedAllocatedTrue,
|
|
OperandType::NegatedAllocatedFalse
|
|
];
|
|
|
|
for first_operand in variants.iter().cloned() {
|
|
for second_operand in variants.iter().cloned() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let a;
|
|
let b;
|
|
|
|
{
|
|
let mut dyn_construct = |operand, name| {
|
|
let cs = cs.namespace(|| name);
|
|
|
|
match operand {
|
|
OperandType::True => Boolean::constant(true),
|
|
OperandType::False => Boolean::constant(false),
|
|
OperandType::AllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()),
|
|
OperandType::AllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()),
|
|
OperandType::NegatedAllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()).not(),
|
|
OperandType::NegatedAllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()).not(),
|
|
}
|
|
};
|
|
|
|
a = dyn_construct(first_operand, "a");
|
|
b = dyn_construct(second_operand, "b");
|
|
}
|
|
|
|
let c = Boolean::xor(&mut cs, &a, &b).unwrap();
|
|
|
|
assert!(cs.is_satisfied());
|
|
|
|
match (first_operand, second_operand, c) {
|
|
(OperandType::True, OperandType::True, Boolean::Constant(false)) => {},
|
|
(OperandType::True, OperandType::False, Boolean::Constant(true)) => {},
|
|
(OperandType::True, OperandType::AllocatedTrue, Boolean::Not(_)) => {},
|
|
(OperandType::True, OperandType::AllocatedFalse, Boolean::Not(_)) => {},
|
|
(OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Is(_)) => {},
|
|
(OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Is(_)) => {},
|
|
|
|
(OperandType::False, OperandType::True, Boolean::Constant(true)) => {},
|
|
(OperandType::False, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::False, OperandType::AllocatedTrue, Boolean::Is(_)) => {},
|
|
(OperandType::False, OperandType::AllocatedFalse, Boolean::Is(_)) => {},
|
|
(OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {},
|
|
(OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {},
|
|
|
|
(OperandType::AllocatedTrue, OperandType::True, Boolean::Not(_)) => {},
|
|
(OperandType::AllocatedTrue, OperandType::False, Boolean::Is(_)) => {},
|
|
(OperandType::AllocatedTrue, OperandType::AllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedTrue, OperandType::AllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::AllocatedTrue, OperandType::NegatedAllocatedTrue, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedTrue, OperandType::NegatedAllocatedFalse, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
|
|
(OperandType::AllocatedFalse, OperandType::True, Boolean::Not(_)) => {},
|
|
(OperandType::AllocatedFalse, OperandType::False, Boolean::Is(_)) => {},
|
|
(OperandType::AllocatedFalse, OperandType::AllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::AllocatedFalse, OperandType::AllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedFalse, OperandType::NegatedAllocatedTrue, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::AllocatedFalse, OperandType::NegatedAllocatedFalse, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
|
|
(OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Is(_)) => {},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Not(_)) => {},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::AllocatedTrue, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::AllocatedFalse, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
|
|
(OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Is(_)) => {},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Not(_)) => {},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::AllocatedTrue, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::AllocatedFalse, Boolean::Not(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("xor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
|
|
_ => panic!("this should never be encountered")
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_boolean_and() {
|
|
let variants = [
|
|
OperandType::True,
|
|
OperandType::False,
|
|
OperandType::AllocatedTrue,
|
|
OperandType::AllocatedFalse,
|
|
OperandType::NegatedAllocatedTrue,
|
|
OperandType::NegatedAllocatedFalse
|
|
];
|
|
|
|
for first_operand in variants.iter().cloned() {
|
|
for second_operand in variants.iter().cloned() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let a;
|
|
let b;
|
|
|
|
{
|
|
let mut dyn_construct = |operand, name| {
|
|
let cs = cs.namespace(|| name);
|
|
|
|
match operand {
|
|
OperandType::True => Boolean::constant(true),
|
|
OperandType::False => Boolean::constant(false),
|
|
OperandType::AllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()),
|
|
OperandType::AllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()),
|
|
OperandType::NegatedAllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()).not(),
|
|
OperandType::NegatedAllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()).not(),
|
|
}
|
|
};
|
|
|
|
a = dyn_construct(first_operand, "a");
|
|
b = dyn_construct(second_operand, "b");
|
|
}
|
|
|
|
let c = Boolean::and(&mut cs, &a, &b).unwrap();
|
|
|
|
assert!(cs.is_satisfied());
|
|
|
|
match (first_operand, second_operand, c) {
|
|
(OperandType::True, OperandType::True, Boolean::Constant(true)) => {},
|
|
(OperandType::True, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::True, OperandType::AllocatedTrue, Boolean::Is(_)) => {},
|
|
(OperandType::True, OperandType::AllocatedFalse, Boolean::Is(_)) => {},
|
|
(OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {},
|
|
(OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {},
|
|
|
|
(OperandType::False, OperandType::True, Boolean::Constant(false)) => {},
|
|
(OperandType::False, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::False, OperandType::AllocatedTrue, Boolean::Constant(false)) => {},
|
|
(OperandType::False, OperandType::AllocatedFalse, Boolean::Constant(false)) => {},
|
|
(OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Constant(false)) => {},
|
|
(OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Constant(false)) => {},
|
|
|
|
(OperandType::AllocatedTrue, OperandType::True, Boolean::Is(_)) => {},
|
|
(OperandType::AllocatedTrue, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::AllocatedTrue, OperandType::AllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::AllocatedTrue, OperandType::AllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedTrue, OperandType::NegatedAllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedTrue, OperandType::NegatedAllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
|
|
(OperandType::AllocatedFalse, OperandType::True, Boolean::Is(_)) => {},
|
|
(OperandType::AllocatedFalse, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::AllocatedFalse, OperandType::AllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedFalse, OperandType::AllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedFalse, OperandType::NegatedAllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::AllocatedFalse, OperandType::NegatedAllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
|
|
(OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Not(_)) => {},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::AllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::AllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("nor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("nor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
|
|
(OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Not(_)) => {},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Constant(false)) => {},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::AllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::AllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("and not result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedTrue, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("nor result") == Field::zero());
|
|
assert_eq!(v.value, Some(false));
|
|
},
|
|
(OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedFalse, Boolean::Is(ref v)) => {
|
|
assert!(cs.get("nor result") == Field::one());
|
|
assert_eq!(v.value, Some(true));
|
|
},
|
|
|
|
_ => {
|
|
panic!("unexpected behavior at {:?} AND {:?}", first_operand, second_operand);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_u64_into_boolean_vec_le() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let bits = u64_into_boolean_vec_le(&mut cs, Some(17234652694787248421)).unwrap();
|
|
|
|
assert!(cs.is_satisfied());
|
|
|
|
assert_eq!(bits.len(), 64);
|
|
|
|
assert_eq!(bits[63 - 0].get_value().unwrap(), true);
|
|
assert_eq!(bits[63 - 1].get_value().unwrap(), true);
|
|
assert_eq!(bits[63 - 2].get_value().unwrap(), true);
|
|
assert_eq!(bits[63 - 3].get_value().unwrap(), false);
|
|
assert_eq!(bits[63 - 4].get_value().unwrap(), true);
|
|
assert_eq!(bits[63 - 5].get_value().unwrap(), true);
|
|
assert_eq!(bits[63 - 20].get_value().unwrap(), true);
|
|
assert_eq!(bits[63 - 21].get_value().unwrap(), false);
|
|
assert_eq!(bits[63 - 22].get_value().unwrap(), false);
|
|
}
|
|
|
|
#[test]
|
|
fn test_field_into_allocated_bits_le() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let r = Fr::from_str("9147677615426976802526883532204139322118074541891858454835346926874644257775").unwrap();
|
|
|
|
let bits = field_into_allocated_bits_le(&mut cs, Some(r)).unwrap();
|
|
|
|
assert!(cs.is_satisfied());
|
|
|
|
assert_eq!(bits.len(), 255);
|
|
|
|
assert_eq!(bits[254 - 0].value.unwrap(), false);
|
|
assert_eq!(bits[254 - 1].value.unwrap(), false);
|
|
assert_eq!(bits[254 - 2].value.unwrap(), true);
|
|
assert_eq!(bits[254 - 3].value.unwrap(), false);
|
|
assert_eq!(bits[254 - 4].value.unwrap(), true);
|
|
assert_eq!(bits[254 - 5].value.unwrap(), false);
|
|
assert_eq!(bits[254 - 20].value.unwrap(), true);
|
|
assert_eq!(bits[254 - 23].value.unwrap(), true);
|
|
}
|
|
|
|
#[test]
|
|
fn test_boolean_sha256_ch() {
|
|
let variants = [
|
|
OperandType::True,
|
|
OperandType::False,
|
|
OperandType::AllocatedTrue,
|
|
OperandType::AllocatedFalse,
|
|
OperandType::NegatedAllocatedTrue,
|
|
OperandType::NegatedAllocatedFalse
|
|
];
|
|
|
|
for first_operand in variants.iter().cloned() {
|
|
for second_operand in variants.iter().cloned() {
|
|
for third_operand in variants.iter().cloned() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let a;
|
|
let b;
|
|
let c;
|
|
|
|
// ch = (a and b) xor ((not a) and c)
|
|
let expected = (first_operand.val() & second_operand.val()) ^
|
|
((!first_operand.val()) & third_operand.val());
|
|
|
|
{
|
|
let mut dyn_construct = |operand, name| {
|
|
let cs = cs.namespace(|| name);
|
|
|
|
match operand {
|
|
OperandType::True => Boolean::constant(true),
|
|
OperandType::False => Boolean::constant(false),
|
|
OperandType::AllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()),
|
|
OperandType::AllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()),
|
|
OperandType::NegatedAllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()).not(),
|
|
OperandType::NegatedAllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()).not(),
|
|
}
|
|
};
|
|
|
|
a = dyn_construct(first_operand, "a");
|
|
b = dyn_construct(second_operand, "b");
|
|
c = dyn_construct(third_operand, "c");
|
|
}
|
|
|
|
let maj = Boolean::sha256_ch(&mut cs, &a, &b, &c).unwrap();
|
|
|
|
assert!(cs.is_satisfied());
|
|
|
|
assert_eq!(maj.get_value().unwrap(), expected);
|
|
|
|
if first_operand.is_constant() ||
|
|
second_operand.is_constant() ||
|
|
third_operand.is_constant()
|
|
{
|
|
if first_operand.is_constant() &&
|
|
second_operand.is_constant() &&
|
|
third_operand.is_constant()
|
|
{
|
|
assert_eq!(cs.num_constraints(), 0);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
assert_eq!(cs.get("ch"), {
|
|
if expected {
|
|
Fr::one()
|
|
} else {
|
|
Fr::zero()
|
|
}
|
|
});
|
|
cs.set("ch", {
|
|
if expected {
|
|
Fr::zero()
|
|
} else {
|
|
Fr::one()
|
|
}
|
|
});
|
|
assert_eq!(cs.which_is_unsatisfied().unwrap(), "ch computation");
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn test_boolean_sha256_maj() {
|
|
let variants = [
|
|
OperandType::True,
|
|
OperandType::False,
|
|
OperandType::AllocatedTrue,
|
|
OperandType::AllocatedFalse,
|
|
OperandType::NegatedAllocatedTrue,
|
|
OperandType::NegatedAllocatedFalse
|
|
];
|
|
|
|
for first_operand in variants.iter().cloned() {
|
|
for second_operand in variants.iter().cloned() {
|
|
for third_operand in variants.iter().cloned() {
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
let a;
|
|
let b;
|
|
let c;
|
|
|
|
// maj = (a and b) xor (a and c) xor (b and c)
|
|
let expected = (first_operand.val() & second_operand.val()) ^
|
|
(first_operand.val() & third_operand.val()) ^
|
|
(second_operand.val() & third_operand.val());
|
|
|
|
{
|
|
let mut dyn_construct = |operand, name| {
|
|
let cs = cs.namespace(|| name);
|
|
|
|
match operand {
|
|
OperandType::True => Boolean::constant(true),
|
|
OperandType::False => Boolean::constant(false),
|
|
OperandType::AllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()),
|
|
OperandType::AllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()),
|
|
OperandType::NegatedAllocatedTrue => Boolean::from(AllocatedBit::alloc(cs, Some(true)).unwrap()).not(),
|
|
OperandType::NegatedAllocatedFalse => Boolean::from(AllocatedBit::alloc(cs, Some(false)).unwrap()).not(),
|
|
}
|
|
};
|
|
|
|
a = dyn_construct(first_operand, "a");
|
|
b = dyn_construct(second_operand, "b");
|
|
c = dyn_construct(third_operand, "c");
|
|
}
|
|
|
|
let maj = Boolean::sha256_maj(&mut cs, &a, &b, &c).unwrap();
|
|
|
|
assert!(cs.is_satisfied());
|
|
|
|
assert_eq!(maj.get_value().unwrap(), expected);
|
|
|
|
if first_operand.is_constant() ||
|
|
second_operand.is_constant() ||
|
|
third_operand.is_constant()
|
|
{
|
|
if first_operand.is_constant() &&
|
|
second_operand.is_constant() &&
|
|
third_operand.is_constant()
|
|
{
|
|
assert_eq!(cs.num_constraints(), 0);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
assert_eq!(cs.get("maj"), {
|
|
if expected {
|
|
Fr::one()
|
|
} else {
|
|
Fr::zero()
|
|
}
|
|
});
|
|
cs.set("maj", {
|
|
if expected {
|
|
Fr::zero()
|
|
} else {
|
|
Fr::one()
|
|
}
|
|
});
|
|
assert_eq!(cs.which_is_unsatisfied().unwrap(), "maj computation");
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|